The red line shown above is shifted 15.8% from the blue dashed line. If H_β is 486.1 nm, what is the change in the wavelength?

Question

The red line shown above is shifted 15.8% from the blue dashed line. If H_β is 486.1 nm, what is the change in the wavelength? A) 562.9 nm B) 76.8 nm C) 486.1 nm D) 409.3 nm

Quizplus · Accepted Answer

We can use the formula for percentage change to find the shift in the wavelength:

% change = (new value - old value)/old value * 100

We know that the red line is shifted 15.8% from the blue dashed line, so we can set up the equation:

15.8% = (new wavelength - 486.1 nm)/486.1 nm * 100

Simplifying, we get:

0.158 = (new wavelength - 486.1 nm)/486.1

Solving for the new wavelength, we get:

new wavelength = 486.1 nm * (1 + 0.158)

new wavelength = 486.1 nm * 1.158

new wavelength = 562.86 nm

Therefore, the change in wavelength is 562.86 nm - 486.1 nm = 76.76 nm. The best choice is B, which is the closest answer to this value.

The Red Line Shown Above Is Shifted 15